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Finding the Fourth Proportional to 2,154.96, 3,232.77 and 768.09

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Solution

The fourth proportional to 2,154.96, 3,232.77 and 768.09 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.96 : 3,232.77 = 768.09 : x
  2. Step 2: Convert to fraction form
    2,154.96/3,232.77 = 768.09/x
  3. Step 3: Cross multiply
    2,154.96x = 3,232.77 × 768.09
  4. Step 4: Simplify right side
    2,154.96x = 2,483,058.31
  5. Step 5: Solve for x
    x = 2,483,058.31/2,154.96
  6. Step 6: Final answer
    x = 1,152.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.